Asphere with a radius of 4.8 centimeters is carved out of a right cone with a base radius of 8 centimeters and a height of 15 centimeters. what is the approximate volume of the remaining portion of the cone in terms of ?

Remaining volume of carved is 542.06 (approx 542) cm³

Step-by-step explanation:

A sphere with a radius of 4.8 cm is carved out of a right cone with base of 8 cm and a height of 15 cm.

We need to find the remaining portion of the cone.

Remaining volume = Volume of cone - Volume of sphere

First we find volume of cone

Volume of cone

Volume of cone

Now we find volume of sphere

Volume of sphere

Volume of sphere

Remaining volume = 1005.31-463.25 = 542.06 cm³

Hence, Remaining volume of carved is 542.06 cm³

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w